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Advent calendar 2022
1 December
All 2022 advent puzzles
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One of the vertices of a rectangle is at the point \((9, 0)\). The \(x\)-axis and \(y\)-axis are both lines of symmetry of the rectangle.
What is the area of the rectangle?
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The only way this is possible is if the rectangle is this square:
The area of this square is
162
.
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Most recent collections
Advent calendar 2023
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List of all puzzles
Tags
cards
speed
parabolas
arrows
pentagons
star numbers
probability
polygons
colouring
partitions
time
spheres
shape
proportion
sums
complex numbers
averages
palindromes
ellipses
christmas
addition
menace
range
prime numbers
2d shapes
crossnumbers
regular shapes
multiplication
rectangles
axes
chalkdust crossnumber
factors
fractions
algebra
sets
division
odd numbers
volume
differentiation
decahedra
digital products
tiling
determinants
crossnumber
area
doubling
pascal's triangle
triangle numbers
books
rugby
the only crossnumber
dates
people maths
numbers
matrices
percentages
taxicab geometry
products
angles
digits
polynomials
indices
quadrilaterals
coordinates
squares
geometry
hexagons
elections
square numbers
consecutive integers
cubics
perimeter
functions
multiples
even numbers
remainders
dice
circles
geometric means
routes
clocks
crosswords
gerrymandering
quadratics
games
integers
integration
albgebra
factorials
scales
money
ave
unit fractions
cryptic crossnumbers
chess
advent
expansions
lines
triangles
trigonometry
wordplay
median
chocolate
symmetry
probabilty
tournaments
sport
balancing
bases
cryptic clues
planes
means
consecutive numbers
floors
digital clocks
sequences
cube numbers
geometric mean
sum to infinity
logic
mean
grids
dodecagons
calculus
shapes
dominos
3d shapes
coins
tangents
perfect numbers
square roots
combinatorics
graphs
folding tube maps
binary
number
irreducible numbers
surds
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